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Finding the Fourth Proportional to 17,785.44, 24,545.52 and 10,332

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Solution

The fourth proportional to 17,785.44, 24,545.52 and 10,332 is: 14,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.44 : 24,545.52 = 10,332 : x
  2. Step 2: Convert to fraction form
    17,785.44/24,545.52 = 10,332/x
  3. Step 3: Cross multiply
    17,785.44x = 24,545.52 × 10,332
  4. Step 4: Simplify right side
    17,785.44x = 253,604,312.64
  5. Step 5: Solve for x
    x = 253,604,312.64/17,785.44
  6. Step 6: Final answer
    x = 14,259.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.